My advice is twofold: first I'd find one of the old target bows from the 1970's, in the mid thirties in draw weight, for maybe $150 or less. There are lots of them on Ebay. These are some of the finest and most lovely bows ever made.
When you have mastered that bow, you could go up a bit in weight for a hunting bow. One of the 1970s models would be a good choice, in the same price range. Or you might choose to go up a notch or two and get a good new American made recurve for a bit more money. I would suggest you check out the custom bowyers in your area for this purpose. These boys are in it for love not money and they can be very helpful to you.
Like me, you might keep that old target bow forever, to work on form, and for the pure pleasure of shooting it.